| Extensions and Deformations of 3-Lie Algebras with Higher Derivations |
| Received:December 26, 2023 Revised:May 09, 2024 |
| Key Words:
higher derivations 3-LieHDer pairs cohomology extensions formal deformations
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.\,12161013) and the Basic Research Program (Natural Science) of Guizhou Province (Grant No.\,ZK[2023]025). |
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| Abstract: |
| In this paper, we call a tuple consisting of 3-Lie algebra and a higher derivation on it a 3-LieHDer pair. We introduce a cohomology theory of 3-LieHDer pairs. Next, we interpret the second cohomology group as the space of all isomorphism classes of abelian extensions. Finally, we consider formal deformations of 3-LieHDer pairs that are governed by the cohomology with self-coefficient. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2025.01.003 |
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